Casimir force between a flat plate and a spherical lens: Application to the results of a new experiment. (English) Zbl 0926.35141
Summary: The Casimir force is calculated in a configuration consisting of a lens placed above a flat plate of arbitrary size used in a recent experiment. The corrections due to the finite size of the plate are shown to be negligible. On the other hand, corrections due to the small distortions of interacting surfaces, their deviation from the perfect geometrical shape and due to the finite metal conductivity were found to be several times larger than the relative experimental error. It is shown that the corrections due to distortions and finite conductivity have opposite signs and may compensate each other.
MSC:
| 35Q60 | PDEs in connection with optics and electromagnetic theory |
| 78A30 | Electro- and magnetostatics |
References:
| [1] | DOI: 10.1016/S0031-8914(58)80090-7 · doi:10.1016/S0031-8914(58)80090-7 |
| [2] | DOI: 10.1103/PhysRevLett.78.5 · doi:10.1103/PhysRevLett.78.5 |
| [3] | Bordag M., Phys. Rev. 56 pp 1– (1997) · doi:10.1103/PhysRevB.56.1 |
| [4] | DOI: 10.1039/qr9561000295 · doi:10.1039/qr9561000295 |
| [5] | DOI: 10.1142/S0217751X96001747 · doi:10.1142/S0217751X96001747 |
| [6] | DOI: 10.1016/0003-4916(77)90249-4 · doi:10.1016/0003-4916(77)90249-4 |
| [7] | DOI: 10.1142/S0217732394002380 · doi:10.1142/S0217732394002380 |
| [8] | DOI: 10.1142/S0217751X9500125X · doi:10.1142/S0217751X9500125X |
| [9] | DOI: 10.1016/0375-9601(95)00139-T · doi:10.1016/0375-9601(95)00139-T |
| [10] | Hargreaves C. M., Proc. Kon. Nederl. Acad. Wet. 68 pp 231– (1965) |
| [11] | DOI: 10.1016/0003-4916(78)90172-0 · doi:10.1016/0003-4916(78)90172-0 |
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